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11th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-1

  • question_answer
    \[\frac{2}{1}+\frac{4}{3}+\frac{6}{5}+.......\infty \]is equal to.

    A) \[e+1\]                                     

    B) \[e-1\]         

    C) \[{{e}^{-1}}\]                         

    D) e

    Correct Answer: D

    Solution :

    [d] \[\therefore \frac{2}{1}+\frac{4}{3}+\frac{6}{5}+......\infty \] \[=1+\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}.....to\,\infty \] \[={{e}^{1}}=e\] Hence, option [d] is correct.


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